(x+a)(x+b)=___

$x^{2} + x + a x + a b$

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$x^{2} + b x + a x + a b$

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$x^{2} + x (a + b) + a b$

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$x^{2} + (a + b) + a b$

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Solution

The correct options are
B
$x^{2} + b x + a x + a b$

C
$x^{2} + x (a + b) + a b$

Multiply the given terms. We get

$(x + a) (x + b) = x^{2} + b x + a x + a b = x^{2} + x (a + b) + a b$

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